In a certain lottery, three white balls are drawn (at random) from ten balls numbered from 1 to 10, and one red SuperBall is drawn (at random) from ten balls numbered from 11 to 20. When you buy a ticket, you select three numbers from 1 to 10 and one number from 11 to 20. To win the jackpot, the numbers on your ticket must match the three white balls and the red SuperBall. (You don't need to match the white balls in order).

If you buy a ticket, what is your probability of winning the jackpot?

Question

Mathematics

Tripp Santana

8 February, 16:43

In a certain lottery, three white balls are drawn (at random) from ten balls numbered from 1 to 10, and one red SuperBall is drawn (at random) from ten balls numbered from 11 to 20. When you buy a ticket, you select three numbers from 1 to 10 and one number from 11 to 20. To win the jackpot, the numbers on your ticket must match the three white balls and the red SuperBall. (You don't need to match the white balls in order).

If you buy a ticket, what is your probability of winning the jackpot?

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Answers (1)

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Santiago Mcclure · Answer 1

To win the jackpot, the numbers on your ticket must match the three white balls and the red SuperBall. If you buy a ticket, what is your probability of winning the jackpot. If you buy a ticket, the probability of your winning the jackpot is 0.01389%

Step-by-step explanation:

We know that sin order to win the Jackpot, the numbers on your ticket must match the three white balls and the red SuperBall

(By selecting three numbers from 1-10 we get)

The chances of you getting the 3 white Balls is = 1/10 x 1/9 x 1/8 = 1/720

The chance of getting the red superball is = 1/10

The chance of winning the jackpot = 1/720 x 1/10 = 1/7,200 = 0.01389%